V. I. Burenkov, E. D. Nursultanov, “Interpolation theorems for nonlinear urysohn integral operators in general Morrey-type spaces”, Eurasian Math. J., 2020, том 11, номер 4,страницы 87

Эта публикация цитируется в 6 статьях

Short communications

Interpolation theorems for nonlinear urysohn integral operators in general Morrey-type spaces

V. I. Burenkov^ab, E. D. Nursultanov^cd

^a S.M. Nikol'skii Institute of Mathematics, RUDN University, 6 Miklukho Maklay St, 117198 Moscow, Russia
^b V.A. Steklov Institute of Mathematics, Russian Academy of Sciences, 42 Vavilov St, 117966 Moscow, Russia
^c Lomonosov Moscow State University (Kazakhstan branch), 11 Kazhimukan St, 010010 Astana, Kazakhstan
^d L.N. Gumilyov Eurasian National University, 2 Mirzoyan St, 010008 Astana, Kazakhstan

Аннотация: In this paper, we present new interpolation theorems for nonlinear Urysohn integral operators. In particular, interpolation theorems of Marcinkiewicz–Calderon type and Stein–Weiss–Peetre type are obtained.

Ключевые слова и фразы: Urysohn integral operators, interpolation theorems, general Morrey-type spaces.

MSC: 42B35, 46E30, 47B38, 46B70

Поступила в редакцию: 31.05.2020

Язык публикации: английский

DOI: 10.32523/2077-9879-2020-11-4-87-94